The background field method and critical vector models

Mikhail Goykhman; Vladimir Rosenhaus; Michael Smolkin

doi:10.1007/JHEP02(2021)074

paper

The background field method and critical vector models

arXiv:2009.13137 · doi:10.1007/JHEP02(2021)074

Abstract

We use the background field method to systematically derive CFT data for the critical $ϕ^{6}$ vector model in three dimensions, and the Gross-Neveu model in dimensions $2 \leq d \leq 4$ . Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the $1/ N$ expansion.

v2: references added (published version)